Leggett-Garg inequalities in the quantum field theory of neutrino oscillations

• URL: http://arxiv.org/abs/2111.09979v2
• Date: Thu, 9 Dec 2021 17:19:32 GMT
• Title: Leggett-Garg inequalities in the quantum field theory of neutrino oscillations
• Authors: Massimo Blasone, Fabrizio Illuminati, Luciano Petruzziello, Luca Smaldone
• Abstract summary: This finding relates temporal nonclassicality to quantum uncertainty. We show that Leggett-Garg inequalities are violated more strongly in quantum field theory than in quantum mechanics.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We investigate Leggett-Garg temporal inequalities in flavor-mixing processes. We derive an exact flavor-mass uncertainty product and we establish that it is an upper bound to the violation of the inequalities. This finding relates temporal nonclassicality to quantum uncertainty and provides a time analog of the Tsirelson upper bound to the violation of the spatial Bell inequalities. By studying the problem both in the exact field-theoretical setting and in the limiting quantum mechanical approximation, we show that Leggett-Garg inequalities are violated more strongly in quantum field theory than in quantum mechanics.

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